3872892 has 48 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1202880.

The previous prime is 3872887. The next prime is 3872893. The reversal of 3872892 is 2982783.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3872892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10609 + ... + 10967.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^3872892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3872892 is an abundant number, since it is smaller than the sum of its proper divisors (5803908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3872892 is a wasteful number, since it uses less digits than its factorization.

3872892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 424 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3872892 is about 1967.9664631289. The cubic root of 3872892 is about 157.0405456021.

The spelling of 3872892 in words is "three million, eight hundred seventy-two thousand, eight hundred ninety-two".